Answer:
The supplement is = 180-150 i.e30
both angles would equal the same so you have:
6x-57 = 2x+15
add 57 to each side:
6x = 2x+72
subtract 2x from each side:
4x = 72
divide:
x = 72/4 = 18
now replace x with 18:
6(18) - 57 = 51
2(18) +15 = 51
51 +51 = 102
Angle QNR = 102 degrees
Answer: 16 men
32 women
38 children
Step-by-step explanation:
Let x represent the number of men in the group.
Let y represent the number if women in the group.
Let z represent the number of children in the group.
A group of 86 people consist of men women and children. This means that
x + y + z = 86 - - - - - - - - - - - - 1
There are twice as many women than there are men. It means that
x = y/2
There are 6 more children than there are women. This means that
z = y + 6
Substituting x = y/2 and z = y + 6 into equation 1, it becomes
y/2 + y + y + 6 = 86
multiplying through by 2, it becomes
y + 2y + 2y + 12 = 172
5y = 172 - 12 = 160
y = 160/5 = 32
x = y/2 = 32/2
x = 16
z = y + 6 = 32 + 6
z = 38
Answer:
Step-by-step explanation:
3x-8<=23
3x<=23+8
3x< =31
X<Or = 10.3
-4x+26>=6
-4x>=-20
X>=5
7a^3(6a^2 + a)^2 - 4a^6
All we have to do here is basically add and subtract exponents!
(6a^2 + a)^2 = 36a^4 + a^2
7a^3(36a^4 + a^2) - 4a^6
252a^7 + 7a^5 - 4a^6
Answer is C.
